Regular Articles

Monotonically edge-sharpening anisotropic diffusion

[+] Author Affiliations
Wenhua Ma

Guangdong University of Foreign Studies, School of Informatics, 2 Baiyundadao, Guangzhou Guangdong, China

Yu-Li You, Mostafa Kaveh

University of Minnesota, Department of Electrical and Computer Engineering, 200 Union Street Southeast, Minneapolis, Minnesota 55455

J. Electron. Imaging. 21(1), 013008 (Mar 08, 2012). doi:10.1117/1.JEI.21.1.013008
History: Received September 26, 2011; Revised December 14, 2011; Accepted January 9, 2012
Text Size: A A A

Abstract  Anisotropic diffusions are classified by the second eigenvalue of the Hessian matrix associated with the diffusivity function into two categories: one incapable of edge-sharpening and the other capable of selective edge-sharpening. A third class is proposed: the eigenvalue starts with a small value and decreases monotonically with image gradient magnitude, so that the stronger the edge is, the more it is sharpened. Two families of such diffusivity functions are proposed. Numerical simulations indicate that the noise removal performance of anisotropic diffusion does not correlate with the shape of the diffusivity function, but is, instead, determined by the shape of the second eigenvalue function. Diffusivity functions in the third category produce the best maximum peak signal-to-noise ratio in numerical simulations.

Figures in this Article
© 2012 SPIE and IS&T

Citation

Wenhua Ma ; Yu-Li You and Mostafa Kaveh
"Monotonically edge-sharpening anisotropic diffusion", J. Electron. Imaging. 21(1), 013008 (Mar 08, 2012). ; http://dx.doi.org/10.1117/1.JEI.21.1.013008


Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

PubMed Articles
Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.